Answer:
The line in the excerpt from Eugene O'Neill's "Beyond the Horizon" that reflects the idea of pursuing one's dreams is:
And I’d promise myself that when I grew up and was strong, I’d follow that road, and it and I would find the sea together. (With a smile) You see, my making this trip is only keeping that promise of long ago.
Explanation:
The first part of the excerpt explains how the character gets introduced to a world of dreams and as the conversation moves on, he comes to the lines that express his idea of pursuing his own dreams of going away and see new places, as he mentions the sea, that has been his objective since he was a child and he promises to see it one day.
